Mei is carrying seven pages of math homework and six pages of English homework.A gust of wind blows the pages out of her hands and she is only able to recover seven random pages what is the probability that she recovers exactly three pages of her math homework

Answers

Answer 1

Answer:

probability of recovering exactly 3 pages of homework = 35/286

Step-by-step explanation:

She carries seven pages of math homework and six pages of English.

Thus, total pages = 7 + 6 = 13 pages.

Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.

There are a total of 7 pages of maths homework from the question.

Thus,

First page = 7/13

Second page = 6/12

Third page = 5/11

So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286


Related Questions

Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:

Hamburgers Spaghetti Pizza
Sample #1 43 13 44
Sample #2 41 20 39

Which of the following inferences can be made based on the data? (5 points)

Pizza is the most preferred lunch.
Spaghetti is two times more popular than pizza.
Hamburgers and pizza are preferred almost equally.
Spaghetti is two times more popular than hamburgers.

Answers

Hamburgers and Pizza are preferred almost equally.
Mark brainliest please

Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation:

Both numbers are very close to each other

Which shape is NOTa trapezoid

Answers

Answer:

The bottom left

Step-by-step explanation:

it has no pairs of parallel sides

Answer:

Step-by-step explanation:

Trapezoid should have a pair of parallel lines.

Bottom left figures does not have parallel lines. So it  is not a trapezoid.

Please solve for x. I need this answered.

Answers

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

Answer:

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

The equation of a line in the point-slope form is show below.
y – 9 = 1/5(x-2)
What is the slope of this line?

Answers

Answer:

the answer is m = 1/5

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c, slope intercept form

y - y₁ = m(x - x₁), point-slope form

where,

x and x₁ are the coordinates of the x-axis,

y and y₁ are the coordinates of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).

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The reciprocal of the cosine is the ___.

A. secant
B. tangent
C. sine
D. cotangent

Answers

Answer:

The correct answer is A

Step-by-step explanation:

The secant is the distance from the center to the vertical tangent in a certain direction.

Answer:

A. secant

Step-by-step explanation:

For trigonometric ratios, we know that cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]. The reciprocal of something is just flipped over. So the reciprocal of cosine is [tex]\frac{hypotenuse}{adjacent}[/tex], which is the ratio for secant.

Another way we can remember this is       [tex]sec x = \frac{1}{cos x} \\\\cos x = \frac{1}{sec x}[/tex]

Explain the Pythagorean theorem.

A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Hope this helps you out!

Answer:

Step-by-step explanation:

c

Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?​

Answers

Answer:

2,578 = 6X

Step-by-step explanation:

Given:

Total weight of honey collected = 2,578 ounce

Each jar hold honey = 6 ounce

Find:

Expression to estimate number of  jars can fill :

Computation:

Assume ,

Total number of jars can fill = X

So,

Total weight of honey collected  = Total number of jars × Each jar hold honey

2,578 = 6 × X

2,578 = 6X

What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?

Answers

Answer:

-3/2

Step-by-step explanation:

We can find the slope between two points using

m = (y2-y1)/(x2-x1)

  = (-7 - -1)/(5 - 1)

  (-7+1(/(5-1)

  -6/4

  -3/2

Answer:

4

Step-by-step explanation:

i did khan :)

inverse of f(x)=50000(0.8)^x

Answers

Answer:

Step-by-step explanation:

A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine

Answers

Answer:

8/9

Step-by-step explanation:

The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9

A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2

Answers

168 in 2 and then 132 in 2

Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.

Answers

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

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one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?​

Answers

Answer:

30

Step-by-step explanation:

150/100 = 1.5

1.5 is 1% of 150

20% of moviegoers recommend the movie

1.5 times 20 = 30

The graph of the function, f(x) = - x2 - 3x + 1, opens and has a, value.

Answers

Answer:

downward, maximum value

Step-by-step explanation:

f(x) = - x^2 - 3x + 1

The negative in front of the x^2 means the graph opens downwards

The y intercept is 1

Because it opens downward it has a maximum value

Answer:

Opens downwards and has a maximum value

Step-by-step explanation:

f(x) = -x² - 3x + 1

a is the coefficient of x², which is -1

Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point

Add or subtract by first changing the mixed numbers to improper fractions.

A: 3 1/3 + 5 3/4

Answers

Answer:

10/3 and 23/4

Step-by-step explanation:

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12

The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices

Parallelogram

Square

Rhombus

Rectangle

Answers

Answer:D is a rectangle

Step-by-step explanation:

A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?

Answers

Answer:

70 inches cubed.

Explanation:

w•l•h=v

PLEASE HELP I NEED THIS image below

Answers

Answer:

64

Step-by-step explanation:

You need to do 4*4*4 to get your answer.

Hope this helps.

Answer:

64

Step-by-step explanation:

Because 4×4 is 16 and 16 ×4 is 64

factorise : x^2y^2-16​

Answers

Answer:

(xy - 4)(xy + 4)

Step-by-step explanation:

x²y² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x²y² - 16

= (xy)² - 4²

= (xy - 4)(xy + 4)

You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 44º and the distance to the kite is 250 feet.
Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
feet

Answers

243.6 because sin 53= x /300 so, 300 times sin 53 =239.59065 and then add 4

i just need this question

Answers

please provide the data to the right

Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)

Answers

Answer:

n+1

Step-by-step explanation:

h(n) = 4n + 5

g(n) = 3n +4

(h - g)(n) = 4n + 5  - (3n +4 )

distribute the minus sign

              = 4n +5 - 3n -4

Combine like terms

              = 4n -3n  +5-4

               = n +1

How many solutions are there to this system of equations?

A) One solution

B)No solution

C)Infinitely many solutions

D)It cannot be determined without solving it.

First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1

Answers

Answer:

one

Step-by-step explanation:

Does anyone know this

Answers

Answer:

It is A

Step-by-step explanation:

The square route of 174 is 13.190906. Didn't use a calculator.

Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm

Answers

Answer:

32

Step-by-step explanation:

add 12 + 6 + 14

4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.

Answers

The figures were not drawn to scale.

Answer: (25 – π)

A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _____and y represents the_____.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.

The total cost of 1 car and 1 SUV is $_____.

The total earnings for hour 3 are $______.

Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?

4x + 2y = 84
3x + 5y = 126

Answers

Answer:

1. cost of each car

2. cost of each SUV

3. (12,18)

4. $30

5. $132

Step-by-step explanation:

In the system of equations,x represents the cost of each car and y represents the cost of each SUV

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.

Answers

Answer:

Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.

Step-by-step explanation:

Cylinder A

Base Circumference=3 meters

[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]

Height=5 meters.

Volume [tex]=\pi r^2 h[/tex]

[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]

Cylinder A

Base Circumference=5 meters

[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]

Height=3 meters.

Volume [tex]=\pi r^2 h[/tex]

[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]

Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]

Cylinder B has a greater volume.

Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus

Answers

Answer:

a, c, and e

Step-by-step explanation:

quadrilateral= a four-sided figure

square= a plane figure with four equal straight sides and four right angles

parallelogram= a four-sided plane rectilinear figure with opposite sides parallel

rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square

rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides

Answer:

A,B,D

Step-by-step explanation:

I had this question on a test and these were the correct answers. So this is guaranteed correct!

I need to know this right now :(

Answers

Answer:

40000

400

Step-by-step explanation:

40000 because 4000 * 10 = 40000

400 because 1 / 10 of 4000 = 400

Answer:

ok so 1/2 is your answer 1/4 divide = 1//2 !

Step-by-step explanation:

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